288 citations · 1.7k across the 31 of their papers we have counts for
3 papers · 2 filters
A variational approach to the mean field planning problem
Carlo Orrieri, Alessio Porretta, Giuseppe Savaré
We investigate a first-order mean field planning problem of the form \begin{equation} \left\lbrace\begin{aligned} -\partial_t u + H(x,Du) &= f(x,m) &&\text{in } (0,T)\times \mathbb…
Mean-field optimal control as Gamma-limit of finite agent controls
Massimo Fornasier, Stefano Lisini, Carlo Orrieri +1
This paper focuses on the role of a government of a large population of interacting agents as a mean field optimal control problem derived from deterministic finite agent dynamics.…
Weighted Energy-Dissipation principle for gradient flows in metric spaces
Riccarda Rossi, Giuseppe Savaré, Antonio Segatti +1
This paper develops the so-called Weighted Energy-Dissipation (WED) variational approach for the analysis of gradient flows in metric spaces. This focuses on the minimization of th…